Sr Examen

Expresión xy∨yz∨¬xy

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

    Ha introducido [src]
    (x∧y)∨(y∧z)∨(y∧(¬x))
    $$\left(x \wedge y\right) \vee \left(y \wedge z\right) \vee \left(y \wedge \neg x\right)$$
    Solución detallada
    $$\left(x \wedge y\right) \vee \left(y \wedge z\right) \vee \left(y \wedge \neg x\right) = y$$
    Simplificación [src]
    $$y$$
    y
    Tabla de verdad
    +---+---+---+--------+
    | x | y | z | result |
    +===+===+===+========+
    | 0 | 0 | 0 | 0      |
    +---+---+---+--------+
    | 0 | 0 | 1 | 0      |
    +---+---+---+--------+
    | 0 | 1 | 0 | 1      |
    +---+---+---+--------+
    | 0 | 1 | 1 | 1      |
    +---+---+---+--------+
    | 1 | 0 | 0 | 0      |
    +---+---+---+--------+
    | 1 | 0 | 1 | 0      |
    +---+---+---+--------+
    | 1 | 1 | 0 | 1      |
    +---+---+---+--------+
    | 1 | 1 | 1 | 1      |
    +---+---+---+--------+
    FNDP [src]
    $$y$$
    y
    FND [src]
    Ya está reducido a FND
    $$y$$
    y
    FNCD [src]
    $$y$$
    y
    FNC [src]
    Ya está reducido a FNC
    $$y$$
    y